TSTP Solution File: KRS091+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS091+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:33:35 EDT 2024

% Result   : Unsatisfiable 0.80s 1.20s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   4 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  16   ~;  11   |;   3   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   11 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( cc(X0)
        & cd(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f4,axiom,
    ! [X0] :
      ( cc(X0)
     => ~ cd(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f9,axiom,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f10,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( cc(X0)
        & cd(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f17,plain,
    ! [X0] :
      ( ( cc(X0)
        & cd(X0) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f19,plain,
    ! [X0] :
      ( cd(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f20,plain,
    ! [X0] :
      ( cc(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f22,plain,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_49,plain,
    ( ~ cUnsatisfiable(X0)
    | cc(X0) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_50,plain,
    ( ~ cUnsatisfiable(X0)
    | cd(X0) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_51,plain,
    ( ~ cc(X0)
    | ~ cd(X0) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_52,plain,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_53,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_00819)
    | cd(i2003_11_14_17_20_00819) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_54,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_00819)
    | cc(i2003_11_14_17_20_00819) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_55,plain,
    ( ~ cc(i2003_11_14_17_20_00819)
    | ~ cd(i2003_11_14_17_20_00819) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_56,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_55,c_54,c_53,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : KRS091+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 22:38:51 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.80/1.20  % SZS status Started for theBenchmark.p
% 0.80/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 0.80/1.20  
% 0.80/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.80/1.20  
% 0.80/1.20  ------  iProver source info
% 0.80/1.20  
% 0.80/1.20  git: date: 2024-05-02 19:28:25 +0000
% 0.80/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.80/1.20  git: non_committed_changes: false
% 0.80/1.20  
% 0.80/1.20  ------ Parsing...
% 0.80/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.80/1.20  
% 0.80/1.20  
% 0.80/1.20  ------ Preprocessing...
% 0.80/1.20  
% 0.80/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 0.80/1.20  
% 0.80/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.80/1.20  
% 0.80/1.20  
%------------------------------------------------------------------------------